Thanks, everyone. Y'all represent myriad perspectives to consider.
A note: The band in question has made me archivist/audio fixer. They've asked that I help grow their market. We discussed releasing sound check and they said not to release things that make them sound crappy or dumb. Otherwise, whatever. So, clear encouragement to share.
Also want to make a distinction between level setting and rehearsal. Level setting isn't very interesting to listen to, and rehearsal can sometimes be pretty cool. I tend to release rehearsal material, and skip the 70 hits to the floor tom while we figure out where the honking in the PA is.
But, my question was actually 'before or after main show'. As is often the case, Gut's reply swayed me. It's easy to jump to the first song of the show, and placing soundcheck first aligns with how things happened in real time.
Thanks!